26406250000 has 165 divisors, whose sum is σ = 69250486863. Its totient is φ = 9750000000.

The previous prime is 26406249979. The next prime is 26406250009. The reversal of 26406250000 is 5260462.

The square root of 26406250000 is 162500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 16 ways, for example, as 20975149584 + 5431100416 = 144828^2 + 73696^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26406250009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 2031249994 + ... + 2031250006.

Almost surely, 2^26406250000 is an apocalyptic number.

26406250000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26406250000 is the 162500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26406250000

26406250000 is an abundant number, since it is smaller than the sum of its proper divisors (42844236863).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26406250000 is an frugal number, since it uses more digits than its factorization.

26406250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Multiplying 26406250000 by its sum of digits (25), we get a square (660156250000 = 812500²).

26406250000 divided by its sum of digits (25) gives a square (1056250000 = 32500²).

The spelling of 26406250000 in words is "twenty-six billion, four hundred six million, two hundred fifty thousand".